213237696672 has 432 divisors, whose sum is σ = 828727072992. Its totient is φ = 51125437440.

The previous prime is 213237696647. The next prime is 213237696697. The reversal of 213237696672 is 276696732312.

It is an interprime number because it is at equal distance from previous prime (213237696647) and next prime (213237696697).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1965183 + ... + 2070849.

It is an arithmetic number, because the mean of its divisors is an integer number (1918349706).

Almost surely, 2^213237696672 is an apocalyptic number.

213237696672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213237696672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414363536496).

213237696672 is an abundant number, since it is smaller than the sum of its proper divisors (615489376320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213237696672 is a wasteful number, since it uses less digits than its factorization.

213237696672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105721 (or 105703 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 54.

It can be divided in two parts, 213237 and 696672, that added together give a palindrome (909909).

The spelling of 213237696672 in words is "two hundred thirteen billion, two hundred thirty-seven million, six hundred ninety-six thousand, six hundred seventy-two".